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Finding the Third Proportional to 202.31 and 354.56

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Solution

The third proportional to 202.31 and 354.56 is: 621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.31 : 354.56 = 354.56 : x
  2. Step 2: Convert to fraction form
    202.31/354.56 = 354.56/x
  3. Step 3: Cross multiply
    202.31x = 354.56 × 354.56
  4. Step 4: Simplify right side
    202.31x = 125,714.57
  5. Step 5: Solve for x
    x = 125,714.57/202.31
  6. Step 6: Final answer
    x = 621.39

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.